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Finding the Fourth Proportional to 191,722.30, 287,583.45 and 51,495.10

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Solution

The fourth proportional to 191,722.30, 287,583.45 and 51,495.10 is: 77,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,722.30 : 287,583.45 = 51,495.10 : x
  2. Step 2: Convert to fraction form
    191,722.30/287,583.45 = 51,495.10/x
  3. Step 3: Cross multiply
    191,722.30x = 287,583.45 × 51,495.10
  4. Step 4: Simplify right side
    191,722.30x = 14,809,138,516.10
  5. Step 5: Solve for x
    x = 14,809,138,516.10/191,722.30
  6. Step 6: Final answer
    x = 77,242.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.